#9296: Add lattice computations for convex polyhedral cones
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Reporter: vbraun | Owner: mhampton
Type: enhancement | Status: needs_info
Priority: major | Milestone: sage-4.5
Component: geometry | Keywords:
Author: Volker Braun | Upstream: N/A
Reviewer: Andrey Novoseltsev | Merged:
Work_issues: |
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Comment(by vbraun):
Right now `xxx_basis()` methods return sublattices in the "embedded
representation" and the `xxx_projection()` method in the "quotient
representation". In practice, the embedded representation is the one you
usually want. I needed the projection only for the orbit closure (i.e. the
usual star of a cone as a projection on a complement of the lattice
spanned by the given cone).
How are you going to specify names for the quotient lattice if not by
passing it as an (optional) argument to the projection method?
Note that you'll also need sublattices of sublattices if you want to
introduce an extra sublattice class. However, for example for the Chow
group computation that is all overkill and you only need (an arbitrary but
fixed choice of) generators of the embedded sublattice.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9296#comment:15>
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